Finding the Third Proportional to 142,778 and 296,788

Step by Step Solution

1. Step 1: Write the proportion equation
   142,778 : 296,788 = 296,788 : x
2. Step 2: Convert to fraction form
   142,778/296,788 = 296,788/x
3. Step 3: Cross multiply
   142,778x = 296,788 × 296,788
4. Step 4: Simplify right side
   142,778x = 88,083,116,944
5. Step 5: Solve for x
   x = 88,083,116,944/142,778
6. Step 6: Final answer
   x = 616,923.59